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130035620 = 2251113192393
BaseRepresentation
bin1111100000000…
…10111110100100
3100001200111100002
413300002332210
5231242114440
620523040432
73136166411
oct760027644
9301614302
10130035620
1167446760
1237670118
1320c2ba70
14133ad108
15b639115
hex7c02fa4

130035620 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 41333760.

The previous prime is 130035617. The next prime is 130035637. The reversal of 130035620 is 26530031.

It is a super-3 number, since 3×1300356203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130035592 and 130035601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53144 + ... + 55536.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2130035620 is an apocalyptic number.

130035620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130035620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

130035620 is an abundant number, since it is smaller than the sum of its proper divisors (207805660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130035620 is a wasteful number, since it uses less digits than its factorization.

130035620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 130035620 is about 11403.3161843387. The cubic root of 130035620 is about 506.6259652977.

Adding to 130035620 its reverse (26530031), we get a palindrome (156565651).

The spelling of 130035620 in words is "one hundred thirty million, thirty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 572 715 836 988 1045 1235 1430 2090 2393 2470 2717 2860 4180 4786 4940 5434 9572 10868 11965 13585 23930 26323 27170 31109 45467 47860 52646 54340 62218 90934 105292 124436 131615 155545 181868 227335 263230 311090 342199 454670 500137 526460 591071 622180 684398 909340 1000274 1182142 1368796 1710995 2000548 2364284 2500685 2955355 3421990 5001370 5910710 6501781 6843980 10002740 11821420 13003562 26007124 32508905 65017810 130035620